The table below is taken from the Australian Bureau of Statistics website.

The table below is taken from the Australian Bureau of Statistics website. It provides data on mortgage repayment (monthly) by Australian households living in different dwelling structures in the year 2011.

Dwelling Structure	Total occupied private dwellings	Separate house	Semi-detached, row or terrace house, townhouse	Flat, unit or apartment
Mortgage Repayment (monthly)
Total	2 709 429	2 324 546	190 411	187 375
$0-$299	114 197	99 624	7 352	6 694
$300-$449	64 357	57 107	3 749	3 220
$450-$599	60 317	53 545	3 375	3 112
$600-$799	113 616	101 194	6 224	5 765
$800-$999	146 303	129 290	8 227	8 289
$1,000-$1,399	380 790	331 572	23 386	24 761
$1,400-$1,799	400 688	341 557	27 855	30 434
$1,800-$2,399	548 587	464 033	40 573	42 946
$2,400-$2,999	303 184	256 405	22 677	23 635
$3,000-$3,999	261 122	219 568	21 697	19 333
$4,000 and over	175 821	146 771	16 659	11 781
Mortgage repayment not stated	140 447	123 880	8 637	7 405

a) Find the probability that a randomly selected households live in separate house dwelling? 1 mark

b) In a total occupied private dwellings, what is the probability that a randomly selected households make a monthly mortgage repayment of $800-$999? 1 mark

c) What is the probability that a randomly selected households make a monthly mortgage repayment of $1,800-$2,399 or $2,400-$2,999? 1 mark

d) What is the probability that a randomly selected households make a monthly mortgage repayment of $300-$449 in a flat, unit or apartment dwelling structure?

Solutions

Expert Solution

a) The probability that randomly selected households to live in separate house dwelling:

The total dwellings= 2709429

The total separate house dwellings= 2324546

The probability= 2324546/ 2709429 = 0.857947

b)The probability that randomly selected households to make a monthly mortgage repayment of $800-$999:

The total dwellings= 2709429

The total monthly mortgage payments of $800-999= 146303

The probability = 146303 / 2709429 =0.053998

c) The probability that randomly selected households to make a monthly mortgage repayment of $1,800-$2,399 or $2,400-$2,999:

The total dwellings= 2709429

The total dwellings of $1800-2399 =548587

The total dwellings of $2400-2999 =303184

The total dwellings of $1800-2399 or $2400-2999= 548587+303184= 851771

The probability= 851771 / 2709429 =0.314373

d)The probability that randomly selected households to make a monthly mortgage repayment of $300-$449 in a flat, unit or apartment dwelling structure:

The total dwellings= 2709429

The total monthly mortgage repayment of $300-449 in a flat, unit or apartment dwelling= 3220

The probability= 3220/ 2709429 = 0.001188

orchestra answered 1 year ago

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